Math Problem Statement
Solution
The problem states:
"The sum of three consecutive numbers is 72. What are the three numbers?"
Let's solve this step by step.
Step 1: Define the three consecutive numbers
Let the three consecutive numbers be:
- (the first number),
- (the second number),
- (the third number).
Step 2: Set up the equation
The sum of these three numbers is given as 72:
Step 3: Simplify the equation
Combine the like terms:
Step 4: Solve for
Subtract 3 from both sides: Now, divide both sides by 3:
Step 5: Find the three consecutive numbers
If , then the three consecutive numbers are:
- First number:
- Second number:
- Third number:
So, the three consecutive numbers are 23, 24, and 25.
Would you like further details or explanations?
Here are five related questions that you might find helpful:
- What would the three consecutive numbers be if their sum was 90?
- How would the problem change if the numbers were consecutive even numbers?
- What is the sum of four consecutive numbers if the smallest number is 10?
- How do you set up an equation for the sum of consecutive odd numbers?
- What is the product of three consecutive numbers if their sum is 72?
Tip: When dealing with consecutive numbers in algebra, always express them in terms of a single variable and its increments to simplify the problem.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Sum of consecutive numbers formula: x + (x + 1) + (x + 2) = Sum
Theorems
-
Suitable Grade Level
Grades 6-8
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